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nataly862011 [7]
3 years ago
13

Side length z = angle d =

Mathematics
1 answer:
Maru [420]3 years ago
3 0

Answer:

a) side length z = 19.965 ≅ 20m

b) angle 'd' = 53.13°

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that ∠HIG is a right angle triangle

Given∠I = 53°

By using the sine function

sin53 = \frac{opposite side}{hypotenuse} =\frac{z}{25}

 z = 25 × sin53° = 25×0.798635

z = 19.965 ≅20 m

<u><em>Step(ii):-</em></u>

sind = \frac{8}{10} = \frac{4}{5}

⇒    d = sin^{-1} (\frac{4}{5} )

<em>⇒   d = 53.13°</em>

<u><em>Final answer:-</em></u>

a) side length z = 19.965 ≅ 20m

b) angle 'd' = 53.13°

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